 # Simplifying Linear Algebra: Techniques, Solutions, and Examples

Recent questions in Linear algebra Annabel Zamora 2023-04-01

## An object moving in the xy-plane is acted on by a conservative force described by the potential energy function $U\left(x,y\right)=\alpha \left(\frac{1}{{x}^{2}}+\frac{1}{{y}^{2}}\right)$ where $\alpha$ is a positive constant. Derivative an expression for the force expressed terms of the unit vectors $\stackrel{\to }{i}$ and $\stackrel{\to }{j}$. Oswaldo Riley 2023-03-31

## I need to find a unique description of Nul A, namely by listing the vectors that measure the null space$A=\left[\begin{array}{ccccc}1& 5& -4& -3& 1\\ 0& 1& -2& 1& 0\\ 0& 0& 0& 0& 0\end{array}\right]$? Aron Campbell 2023-03-30

## T must be a linear transformation, we assume. Can u find the T standard matrix.? Jacoby Blevins 2023-03-30

## Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQRConsider the points belowP(1,0,1) , Q(-2,1,4) , R(7,2,7).a) Find a nonzero vector orthogonal to the plane through the points P,Q and R.b) Find the area of the triangle PQR. atentan4t9j 2023-03-25

## Consider two vectors A=3i - 1j and B = - i - 5j, how do you calculate A - B? Kira Yoder 2023-03-23

## What is the dot product of $<1,-4,5>$ and $<-5,7,3>$? Oswaldo Riley 2023-03-23

## Let vectors A=(1,0,-3) ,B=(-2,5,1) and C=(3,1,1), how do you calculate 2A-3(B-C)? miljanwpd2 2023-03-23

## What is the projection of $<6,5,3>$ onto $<2,-1,8>$? Arturo Callahan 2023-03-18

## Which of the following is not a vector quantity? A)Weight; B)Nuclear spin; C)Momentum; D)Potential energy Marisa Singleton 2023-03-17

## How to find all unit vectors normal to the plane which contains the points $\left(0,1,1\right),\left(1,-1,0\right)$, and $\left(1,0,2\right)$? Isis Everett 2023-03-16

## What is a rank $1$ matrix? Kobe Dixon 2023-03-16

## How to find unit vector perpendicular to plane: 6x-2y+3z+8=0? Kai Kerr 2023-03-13

## Can we say that a zero matrix is invertible? Autumn Hebert 2023-03-12

## How do I find the sum of three vectors? umatisi6ar 2023-03-11

## How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude and direction of the force is given by $v=<1,4>$? Beau Mckee 2023-03-11

## How do I find the vertical component of a vector? Bruno Schneider 2023-03-11

## How would you find a unit vector perpendicular to plane ABC where points are A(3,-1,2), B(1,-1,-3) and C(4,-3,1)? pwysi85o 2023-03-11

## What is an augmented matrix? 1giebgm 2023-03-11
## What does determinant of $0$ mean? Karlee Rivas 2023-03-09